The Bexar County Tax Office offers the option of paying your Property Taxes online with either a major credit card or an electronic check (eCheck). Central Time (CT) on the due date to be considered timely.For questions, call the Bexar Appraisal District at 210-224-2432. You may fill out the change of address form or simply make the request in writing. The first half of their total tax payment is due before Christmas. Due date for Bexar County property taxes extended to Feb. 2. Bexar County property taxes are due today. Pay up to avoid penalties and interest.